13312166121331 has 48 divisors (see below), whose sum is σ = 16963723041120. Its totient is φ = 10329946368000.

The previous prime is 13312166121283. The next prime is 13312166121361.

13312166121331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13312166121331 - 2¹⁵ = 13312166088563 is a prime.

It is a super-2 number, since 2×13312166121331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13312166121361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345204291 + ... + 345242851.

It is an arithmetic number, because the mean of its divisors is an integer number (353410896690).

Almost surely, 2^{13312166121331} is an apocalyptic number.

13312166121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13312166121331 is a deficient number, since it is larger than the sum of its proper divisors (3651556919789).

13312166121331 is a wasteful number, since it uses less digits than its factorization.

13312166121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41236 (or 41229 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

It can be divided in two parts, 1331216 and 6121331, that added together give a palindrome (7452547).

The spelling of 13312166121331 in words is "thirteen trillion, three hundred twelve billion, one hundred sixty-six million, one hundred twenty-one thousand, three hundred thirty-one".